Desingularization of Kontsevich's compactification of twisted cubics in \(V_5\)

DOI10.1007/s00229-022-01382-2OpenAlexW4288601459MaRDI QIDQ2700862

Kiryong Chung

Publication date: 27 April 2023

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01658

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Rational and birational maps (14E05) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60)

Related Items (4)

An \(\mathrm{SL}(3, \mathbb{C})\)-equivariant smooth compactification of moduli space of rational quartic plane curves ⋮ Correspondence of Donaldson-Thomas and Gopakumar-Vafa invariants on local Calabi-Yau 4-folds over \(V_5\) and \(V_{22}\) ⋮ Unnamed Item ⋮ Compactifications of conic spaces in del Pezzo 3-fold

Uses Software

• Macaulay2

Cites Work

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• Twisted cubics on cubic fourfolds
• Spaces of rational curves on complete intersections
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• The family of lines on the Fano threefold V₅
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• MODULI SPACE OF STABLE MAPS TO PROJECTIVE SPACE VIA GIT
• On the Hilbert Scheme Compactification of the Space of Twisted Cubics
• Complete Intersections and Connectedness
• Notes on stable maps and quantum cohomology
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• On the moduli scheme of stable sheaves supported on cubic space curves
• Geometric invariant theory and flips

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