scientific article; zbMATH DE number 1126898

zbMath0926.14011MaRDI QIDQ4379989

Christophe Soule

Publication date: 31 March 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Schubert calculusChern classesGrothendieck groupssemi-stabilityRiemann-Roch theoremsvanishing theoremshermitian vector bundleamplenesshigher-dimensional Arakelov theory

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Riemann-Roch theorems (14C40) Lattices and convex bodies (number-theoretic aspects) (11H06) Heights (11G50) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Currents in global analysis (58A25) Vanishing theorems (32L20) Riemann-Roch theorems, Chern characters (19L10)

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