Pub Date : 2023-01-01Epub Date: 2022-09-15DOI: 10.1007/s12215-022-00796-x
Laura Pertusi, Paolo Stellari
We survey some recent results concerning the so called Categorical Torelli problem. This is to say how one can reconstruct a smooth projective variety up to isomorphism, by using the homological properties of special admissible subcategories of the bounded derived category of coherent sheaves of such a variety. The focus is on Enriques surfaces, prime Fano threefolds and cubic fourfolds.
{"title":"Categorical Torelli theorems: results and open problems.","authors":"Laura Pertusi, Paolo Stellari","doi":"10.1007/s12215-022-00796-x","DOIUrl":"10.1007/s12215-022-00796-x","url":null,"abstract":"<p><p>We survey some recent results concerning the so called Categorical Torelli problem. This is to say how one can reconstruct a smooth projective variety up to isomorphism, by using the homological properties of special admissible subcategories of the bounded derived category of coherent sheaves of such a variety. The focus is on Enriques surfaces, prime Fano threefolds and cubic fourfolds.</p>","PeriodicalId":46620,"journal":{"name":"Rendiconti del Circolo Matematico di Palermo","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10326895/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9810139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On bianchi identities","authors":"P. Delanoé","doi":"10.1007/BF02871653","DOIUrl":"https://doi.org/10.1007/BF02871653","url":null,"abstract":"","PeriodicalId":46620,"journal":{"name":"Rendiconti del Circolo Matematico di Palermo","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2020-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/BF02871653","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49049279","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":"Functional derivatives","authors":"E. Allgower","doi":"10.1007/BF02844029","DOIUrl":"https://doi.org/10.1007/BF02844029","url":null,"abstract":"","PeriodicalId":46620,"journal":{"name":"Rendiconti del Circolo Matematico di Palermo","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2019-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/BF02844029","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47772374","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 : 2016-04-01DOI: 10.1007/S12215-015-0216-8
Binru Li, Sascha Weigl
{"title":"The locus of curves with $$D_n$$Dn-symmetry inside $$mathfrak M_g$$Mg","authors":"Binru Li, Sascha Weigl","doi":"10.1007/S12215-015-0216-8","DOIUrl":"https://doi.org/10.1007/S12215-015-0216-8","url":null,"abstract":"","PeriodicalId":46620,"journal":{"name":"Rendiconti del Circolo Matematico di Palermo","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86648158","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 : 2016-02-01DOI: 10.1007/s12215-015-0219-5
S. Ershkov
{"title":"A procedure for the construction of non-stationary Riccati-type flows for incompressible 3D Navier–Stokes equations","authors":"S. Ershkov","doi":"10.1007/s12215-015-0219-5","DOIUrl":"https://doi.org/10.1007/s12215-015-0219-5","url":null,"abstract":"","PeriodicalId":46620,"journal":{"name":"Rendiconti del Circolo Matematico di Palermo","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2016-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78615758","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 : 2016-01-01DOI: 10.1007/978-3-319-30406-9_5
A. Nola, R. Grigolia, E. Turunen
{"title":"Local MV -Algebras","authors":"A. Nola, R. Grigolia, E. Turunen","doi":"10.1007/978-3-319-30406-9_5","DOIUrl":"https://doi.org/10.1007/978-3-319-30406-9_5","url":null,"abstract":"","PeriodicalId":46620,"journal":{"name":"Rendiconti del Circolo Matematico di Palermo","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51014524","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 : 2015-12-28DOI: 10.1007/s12215-015-0225-7
J. Gildea
{"title":"Torsion units for a Ree group, Tits group and a Steinberg triality group","authors":"J. Gildea","doi":"10.1007/s12215-015-0225-7","DOIUrl":"https://doi.org/10.1007/s12215-015-0225-7","url":null,"abstract":"","PeriodicalId":46620,"journal":{"name":"Rendiconti del Circolo Matematico di Palermo","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2015-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76449484","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 : 2015-12-15DOI: 10.1007/s12215-015-0226-6
J. Ramos-Fernández
{"title":"Logarithmic Bloch spaces and their weighted composition operators","authors":"J. Ramos-Fernández","doi":"10.1007/s12215-015-0226-6","DOIUrl":"https://doi.org/10.1007/s12215-015-0226-6","url":null,"abstract":"","PeriodicalId":46620,"journal":{"name":"Rendiconti del Circolo Matematico di Palermo","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2015-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73441515","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 : 2015-12-11DOI: 10.1007/s12215-015-0224-8
Sarita Choudhury, Anurag Jayswal, I. Ahmad
{"title":"Second order monotonicities and second order variational-like inequality problems","authors":"Sarita Choudhury, Anurag Jayswal, I. Ahmad","doi":"10.1007/s12215-015-0224-8","DOIUrl":"https://doi.org/10.1007/s12215-015-0224-8","url":null,"abstract":"","PeriodicalId":46620,"journal":{"name":"Rendiconti del Circolo Matematico di Palermo","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2015-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12215-015-0224-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72444181","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 : 2015-12-10DOI: 10.1007/s12215-015-0223-9
F. Saeedi, S. Sheikh-Mohseni
{"title":"On semicomplete Lie algebras","authors":"F. Saeedi, S. Sheikh-Mohseni","doi":"10.1007/s12215-015-0223-9","DOIUrl":"https://doi.org/10.1007/s12215-015-0223-9","url":null,"abstract":"","PeriodicalId":46620,"journal":{"name":"Rendiconti del Circolo Matematico di Palermo","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2015-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76461649","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}