Classification and syzygies of smooth projective varieties with 2-regular structure sheaf
| Autor: | Jinhyung Park, Sijong Kwak |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Algebraic properties
Pure mathematics Hilbert's syzygy theorem Mathematics::Commutative Algebra General Mathematics 010102 general mathematics Adjunction 01 natural sciences 010101 applied mathematics Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry Castelnuovo–Mumford regularity FOS: Mathematics Sheaf 0101 mathematics Projective test Algebraic Geometry (math.AG) Mathematics |
| Popis: | The geometric and algebraic properties of smooth projective varieties with 1-regular structure sheaf are well understood, and the complete classification of these varieties is a classical result. The aim of this paper is to study the next case: smooth projective varieties with 2-regular structure sheaf. First, we give a classification of such varieties using adjunction mappings. Next, under suitable conditions, we study the syzygies of section rings of those varieties to understand the structure of the Betti tables, and show a sharp bound for Castelnuovo-Mumford regularity. 13 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|