Riemann-Roch theorem for normal surfaces and applications

DOI10.1007/BF02953338zbMath0877.14007MaRDI QIDQ1913342

Yanyan Li

Publication date: 10 December 1997

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Riemann-Roch formulaCartier divisorssecond Chern classadjunction formulaquotient singularitiesglobalizationsWeil divisorsorbisurfaces

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Singularities of surfaces or higher-dimensional varieties (14J17) Divisors, linear systems, invertible sheaves (14C20)

Related Items (15)

Numerical adjunction formulas for weighted projective planes and lattice point counting ⋮ Cyclic branched coverings of surfaces with Abelian quotient singularities ⋮ I-surfaces with one T-singularity ⋮ Log-canonical degenerations of del Pezzo surfaces in \(\mathbb{Q}\)-Gorenstein families ⋮ On numerical nonvanishing for generalized log canonical pairs ⋮ Delta invariant of curves on rational surfaces I. An analytic approach ⋮ The correction term for the Riemann-Roch formula of cyclic quotient singularities and associated invariants ⋮ On T‐divisors and intersections in the moduli space of stable surfaces M¯1,3$\overline{\mathfrak {M}}_{1,3}$ ⋮ Valuation of exponential sums and the generic first slope for Artin-Schreier curves ⋮ Coverings of Rational Ruled Normal Surfaces ⋮ Pluricanonical maps of stable log surfaces ⋮ Smoothable del Pezzo surfaces with quotient singularities ⋮ Geography of Gorenstein stable log surfaces ⋮ On accumulation points of volumes of log surfaces ⋮ ℤ3-actions on Horikawa surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Einstein-Kähler V-metrics on open Satake V-surfaces with isolated quotient singularities
• The maximal number of quotient singularities on surfaces with given numerical invariants
• Extendability of holomorphic differential forms near isolated hypersurface singularities
• Weil divisors on normal surfaces
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Stable reflexive sheaves
• Abundance theorem for minimal threefolds
• On the Riemann-Roch equation for singular complex surfaces
• Some algebraicity criteria for singular surfaces
• Rings mit only finitely many isomorphism classes of maximal indecomposable Cohen-Macaulay modules
• Second Chern class and Riemann-Roch for vector bundles on resolutions of surface singularities
• A GAGA type theorem on germs of analytic curves through germs of quotient surface singularities
• Positivity results for Euler characteristics of singular surfaces
• Two aspects of log terminal surface singularities
• Reflexive modules on quotient surface singularities
• 2-dimensionale Singularitäten und Differentialformen. (2-dimensional singularities and differential forms)
• Complete linear systems on normal varieties and a generalization of a lemma of Enriques-Severi
• Reflexive modules on quotient surface singularities.
• DEL PEZZO SURFACES WITH LOG-TERMINAL SINGULARITIES. I
• The Hyperplane Sections of Normal Varieties
• Reflexive modules over rational double points

This page was built for publication: Riemann-Roch theorem for normal surfaces and applications