Marked Artin--Schelter surfaces of del Pezzo types
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Abstract
We introduce a class of noncommutative surfaces called Artin--Schelter surfaces of del Pezzo types, which contains del Pezzo surfaces as special cases. We show that the moduli stacks of marked Artin--Schelter surfaces of del Pezzo types are birational to the moduli stacks of tuples consisting of a smooth projective curve of genus 1, two line bundles of degree 3, and a collection of line bundles of degree 1 on the curve.Keywords
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This publication has 11 references indexed in Scilit:
- Exceptional sequences of invertible sheaves on rational surfacesCompositio Mathematica, 2011
- Graded Calabi Yau algebras of dimension 3Journal of Pure and Applied Algebra, 2008
- Some Algebras Associated to Automorphisms of Elliptic Curves2007
- Derived categories of irreducible projective curves of arithmetic genus oneCompositio Mathematica, 2006
- Blowing up of non-commutative smooth surfacesMemoirs of the American Mathematical Society, 2001
- EXCEPTIONAL SHEAVES ON DEL PEZZO SURFACESIzvestiya: Mathematics, 1995
- HOMOLOGICAL PROPERTIES OF ASSOCIATIVE ALGEBRAS: THE METHOD OF HELICESIzvestiya: Mathematics, 1994
- REPRESENTATION OF ASSOCIATIVE ALGEBRAS AND COHERENT SHEAVESMathematics of the USSR-Izvestiya, 1990
- Morita Theory for Derived CategoriesJournal of the London Mathematical Society, 1989
- Graded algebras of global dimension 3Advances in Mathematics, 1987