Geometry of moduli space of sheaves on del Pezzo surfaces via Maruyama transform

DOI10.1080/00927872.2018.1498870zbMath1423.14031OpenAlexW2900766336MaRDI QIDQ5742684

Kiryong Chung, Jinwon Choi

Publication date: 8 May 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2018.1498870

zbMATH Keywords

del Pezzo surfacebirational geometrystable sheafelementary modification

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Minimal model program (Mori theory, extremal rays) (14E30) (Equivariant) Chow groups and rings; motives (14C15)

Cites Work

• Moduli spaces of \(\alpha\)-stable pairs and wall-crossing on \(\mathbb{P}^2\)
• The birational geometry of moduli spaces of sheaves on the projective plane
• On the geometry of the moduli spaces of semi-stable sheaves supported on plane quartics
• On the preservation of \(k\)-very ampleness under adjunction
• Birational geometry of the moduli space of pure sheaves on quadric surface
• The minimal model program for the Hilbert scheme of points on \(\mathbb P^2\) and Bridgeland stability
• The geometry of the moduli space of one-dimensional sheaves
• The Birational Geometry of the Hilbert Scheme of Points on Surfaces
• Classical Algebraic Geometry
• ESPACES DE MODULES DE SYSTÈMES COHÉRENTS
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• Chow Ring of the Moduli Space of Stable Sheaves Supported on Quartic Curves
• k—Very Ample Line Bundles on Del Pezzo Surfaces
• Local BPS Invariants: Enumerative Aspects and Wall-Crossing
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