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Improvement of Grauert-Riemenschneider's theorem for a normal surface

Jean Giraud (1982)

Annales de l'institut Fourier

Let $\tilde{X}$ be a desingularization of a normal surface $X$ . The group Pic $(\tilde{X})$ is provided with an order relation $L \underline{≫} 0$ , defined by $L$ . $V \leq 0$ for any effective exceptional divisor $V$ . Comparing to the usual order relation we define the ceiling of $L$ which is an exceptional divisor. This notion allows us to improve the usual vanishing theorem and we deduce from it a numerical criterion for rationality and a genus formula for a curve on a normal surface; the difficulty lies in the case of a Weil divisor which is not a Cartier...

Independent Rigid Secondary Classes for Holomorphic Foliations.

Steven Hurder (1982)

Inventiones mathematicae

Index invariants of orbit spaces.

Richard Randell (1975)

Mathematica Scandinavica

Inégalités de Morse pour la $d^{''}$ -cohomologie sur une variété holomorphe non compacte

Thierry Bouche (1989)

Annales scientifiques de l'École Normale Supérieure

Injectivity of the double fibration transform for cycle spaces of flag domains.

Huckleberry, Alan T., Wolf, Joseph A. (2004)

Journal of Lie Theory

Integral transforms for divisors in $ℙ_{n} (ℂ)$ and solutions of systems of PDE’s

Jarolím Bureš, Vladimír Souček, Salomon Ofman (2000)

Czechoslovak Mathematical Journal

Integration of cocycles and Lefschetz number formulae for differential operators.

Ramadoss, Ajay C. (2011)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Intersection homology ...-module on local complete intersections with isolated singularities.

K. Vilonen (1985)

Inventiones mathematicae

Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface.

Jeffrey, Lisa C., Kirwan, Frances C. (1995)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Invariant connections and invariant holomorphic bundles on homogeneous manifolds

Indranil Biswas, Andrei Teleman (2014)

Open Mathematics

Let X be a differentiable manifold endowed with a transitive action α: A×X→X of a Lie group A. Let K be a Lie group. Under suitable technical assumptions, we give explicit classification theorems, in terms of explicit finite dimensional quotients, of three classes of objects: equivalence classes of α-invariant K-connections on X α-invariant gauge classes of K-connections on X, andα-invariant isomorphism classes of pairs (Q,P) consisting of a holomorphic Kℂ-bundle Q → X and a K-reduction P of Q (when...

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