Herbert Lange

TL;DR: The Cohomology of Line Bundles and Factor of Automorphy for Abelian and Jacobian Varieties has been studied in algebraic geometry and intersection theory as discussed by the authors, with a focus on complex spaces of sheaves.

TL;DR: In this paper, the authors generalize Grothendieck's universal properties of vector bundles and projective bundles to the relative case of a flat projective morphism f: X + Y of noetherian schemes.

TL;DR: In this paper, Kaneyuki et al. introduced the heat kernels of non-compact symmetric spaces, Qi-keng Lu: introduction the Laplace-Beltrami operator in various co-ordinates the integral transformations the heat kernel of the hyperball Rr(m,n) the harmonic forms on the complex Grassmann manifold the horo-hypercircle coordinate of a complex hyperball the heatkernel of R11(m) the matrix representation of NIRGSS.

TL;DR: In this article, the dimension of every cohomology group of every line bundle L on a complex torus X = V/∧ (see Theorem 3.5) was computed and the result is the Riemann-Roch Theorem.

TL;DR: For smooth projective curves of genus g ≥ 4, the Clifford index is an important invariant which provides a bound for the dimension of the space of sections of a line bundle as discussed by the authors.