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Displaying 41 – 60 of 137

Finiteness of cominuscule quantum $K$ -theory

Anders S. Buch, Pierre-Emmanuel Chaput, Leonardo C. Mihalcea, Nicolas Perrin (2013)

Annales scientifiques de l'École Normale Supérieure

The product of two Schubert classes in the quantum $K$ -theory ring of a homogeneous space $X = G / P$ is a formal power series with coefficients in the Grothendieck ring of algebraic vector bundles on $X$ . We show that if $X$ is cominuscule, then this power series has only finitely many non-zero terms. The proof is based on a geometric study of boundary Gromov-Witten varieties in the Kontsevich moduli space, consisting of stable maps to $X$ that take the marked points to general Schubert varieties and whose domains...

Frobenius et cohomologie locale

Jean-François Boutot (1974/1975)

Séminaire Bourbaki

Fundamental Groups, Algebraic K-Theory, and a Problem of Abhyankar.

Mark I. Krusemeyer (1973)

Inventiones mathematicae

Gersten's conjecture and the homology of schemes

Spencer Bloch, Arthur Ogus (1974)

Annales scientifiques de l'École Normale Supérieure

Groupes de Chow et K-théorie de variétés sur un corps fini.

C. Soulé (1984)

Mathematische Annalen

Helices on some Fano threefolds : constructivity of semiorthogonal bases of $K_{0}$

D. Yu. Nogin (1994)

Annales scientifiques de l'École Normale Supérieure

Hilbert's Theorem 90 for K2, with Application to the Chow Groups of Rational Surfaces.

Jean-Louis Colliot-Thélène (1983)

Inventiones mathematicae

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...