Surfaces of general type with     p  g   =  1   ,    q  =  0   ,     K  2   =  6    and grassmannians | Zendy

Fatighenti Enrico | Zendy

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Surfaces of general type with p g = 1 , q = 0 , K 2 = 6 and grassmannians

Author(s) -

Fatighenti Enrico

Publication year - 2020

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201800153

Subject(s) - mathematics , pfaffian , grassmannian , fano plane , vector bundle , pure mathematics , type (biology) , homogeneous , zero (linguistics) , tautological line bundle , construct (python library) , section (typography) , normal bundle , combinatorics , frame bundle , computer science , linguistics , ecology , philosophy , biology , programming language , operating system

We construct examples of surfaces of general type withp g = 1 , q = 0 andK 2 = 6 . We use as key varieties Fano fourfolds and Calabi–Yau threefolds that are zero section of some special homogeneous vector bundle on Grassmannians. We link as well our construction to a classical Campedelli surface, using the Pfaffian–Grassmannian correspondence.

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