{"title":"Bi-algebraic geometry and the André-Ooert\u0000 conjecture","authors":"B. Klingler, E. Ullmo, A. Yafaev","doi":"10.1090/pspum/097.2/12","DOIUrl":"https://doi.org/10.1090/pspum/097.2/12","url":null,"abstract":"","PeriodicalId":412716,"journal":{"name":"Algebraic Geometry: Salt Lake City\n 2015","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114431615","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-06-01DOI: 10.1090/PSPUM/097.1/01680
Sandor J. Kovacs
{"title":"Moduli of stable log-varieties—an\u0000 update","authors":"Sandor J. Kovacs","doi":"10.1090/PSPUM/097.1/01680","DOIUrl":"https://doi.org/10.1090/PSPUM/097.1/01680","url":null,"abstract":"","PeriodicalId":412716,"journal":{"name":"Algebraic Geometry: Salt Lake City\n 2015","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129293306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Kähler-Einstein metrics, canonical random\u0000 point processes and birational geometry","authors":"R. Berman","doi":"10.1090/pspum/097.1/02","DOIUrl":"https://doi.org/10.1090/pspum/097.1/02","url":null,"abstract":"","PeriodicalId":412716,"journal":{"name":"Algebraic Geometry: Salt Lake City\n 2015","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127656592","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The space of arcs of an algebraic\u0000 variety","authors":"Tommaso de Fernex","doi":"10.1090/pspum/097.1/06","DOIUrl":"https://doi.org/10.1090/pspum/097.1/06","url":null,"abstract":"","PeriodicalId":412716,"journal":{"name":"Algebraic Geometry: Salt Lake City\n 2015","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130129841","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-06-01DOI: 10.1090/PSPUM/097.1/01690
Serge Cantat
We survey a few results concerning groups of birational transformations. The emphasis is on the Cremona group in two variables and methods coming from geometric group theory.
我们调查了一些关于两族变换群的结果。重点讨论了两个变量的克雷莫纳群和来自几何群论的方法。
{"title":"The Cremona group","authors":"Serge Cantat","doi":"10.1090/PSPUM/097.1/01690","DOIUrl":"https://doi.org/10.1090/PSPUM/097.1/01690","url":null,"abstract":"We survey a few results concerning groups of birational transformations. The emphasis is on the Cremona group in two variables and methods coming from geometric group theory.","PeriodicalId":412716,"journal":{"name":"Algebraic Geometry: Salt Lake City\n 2015","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121217608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-06-01DOI: 10.1090/PSPUM/097.2/01716
Akio Tamagawa
{"title":"Specialization of ℓ-adic representations of\u0000 arithmetic fundamental groups and applications to\u0000 arithmetic of abelian varieties","authors":"Akio Tamagawa","doi":"10.1090/PSPUM/097.2/01716","DOIUrl":"https://doi.org/10.1090/PSPUM/097.2/01716","url":null,"abstract":"","PeriodicalId":412716,"journal":{"name":"Algebraic Geometry: Salt Lake City\n 2015","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123984722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-08-01DOI: 10.1090/PSPUM/097.2/01710
Max Lieblich
We give a modern introduction to the moduli of sheaves. After reviewing the classical theory, we give a catalogue of results from the last decade. We then consider a more "symmetric" formulation of the theory by working with gerbes from the start.
{"title":"Moduli of sheaves: A modern primer","authors":"Max Lieblich","doi":"10.1090/PSPUM/097.2/01710","DOIUrl":"https://doi.org/10.1090/PSPUM/097.2/01710","url":null,"abstract":"We give a modern introduction to the moduli of sheaves. After reviewing the classical theory, we give a catalogue of results from the last decade. We then consider a more \"symmetric\" formulation of the theory by working with gerbes from the start.","PeriodicalId":412716,"journal":{"name":"Algebraic Geometry: Salt Lake City\n 2015","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116055046","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-02-19DOI: 10.1090/PSPUM/097.1/01673
S. Donaldson
This is a survey article, based on the author's lectures in the 2015 AMS Summer Research Institute in Algebraic Geometry, and to appear in the Proceedings.
{"title":"Stability of algebraic varieties and Kähler\u0000 geometry","authors":"S. Donaldson","doi":"10.1090/PSPUM/097.1/01673","DOIUrl":"https://doi.org/10.1090/PSPUM/097.1/01673","url":null,"abstract":"This is a survey article, based on the author's lectures in the 2015 AMS Summer Research Institute in Algebraic Geometry, and to appear in the Proceedings.","PeriodicalId":412716,"journal":{"name":"Algebraic Geometry: Salt Lake City\n 2015","volume":"103 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122492117","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-01-17DOI: 10.1090/PSPUM/097.1/01671
Ana-Maria Castravet
The goal of the present article is to survey the general theory of Mori Dream Spaces, with special regards to the question: When is the blow-up of toric variety at a general point a Mori Dream Space? We translate the question for toric surfaces of Picard number one into an interpolation problem involving points in the projective plane. An instance of such an interpolation problem is the Gonzalez-Karu theorem that gives new examples of weighted projective planes whose blow-up at a general point is not a Mori Dream Space.
{"title":"Mori dream spaces and blow-ups","authors":"Ana-Maria Castravet","doi":"10.1090/PSPUM/097.1/01671","DOIUrl":"https://doi.org/10.1090/PSPUM/097.1/01671","url":null,"abstract":"The goal of the present article is to survey the general theory of Mori Dream Spaces, with special regards to the question: When is the blow-up of toric variety at a general point a Mori Dream Space? We translate the question for toric surfaces of Picard number one into an interpolation problem involving points in the projective plane. An instance of such an interpolation problem is the Gonzalez-Karu theorem that gives new examples of weighted projective planes whose blow-up at a general point is not a Mori Dream Space.","PeriodicalId":412716,"journal":{"name":"Algebraic Geometry: Salt Lake City\n 2015","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115741441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-01-06DOI: 10.1090/PSPUM/097.1/01679
A. Horing, T. Peternell
We describe the recently established minimal model program for (non-algebraic) Kahler threefolds as well as the abundance theorem for these spaces.
我们描述了最近建立的(非代数)Kahler三折空间的最小模型规划以及这些空间的丰度定理。
{"title":"Bimeromorphic geometry of Kähler\u0000 threefolds","authors":"A. Horing, T. Peternell","doi":"10.1090/PSPUM/097.1/01679","DOIUrl":"https://doi.org/10.1090/PSPUM/097.1/01679","url":null,"abstract":"We describe the recently established minimal model program for (non-algebraic) Kahler threefolds as well as the abundance theorem for these spaces.","PeriodicalId":412716,"journal":{"name":"Algebraic Geometry: Salt Lake City\n 2015","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123906217","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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