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The border cases of the lifting theorem for surfaces in P4.

Emilia Mezzetti (1992)

Journal für die reine und angewandte Mathematik

The Chern character for Lie-Rinehart algebras

Helge Maakestad (2005)

Annales de l'institut Fourier

Let $A$ be a commutative $S$ -algebra where $S$ is a ring containing the rationals. We prove the existence of a Chern character for Lie-Rinehart algebras $L$ over A with values in the Lie-Rinehart cohomology of L which is independent of choice of a $L$ -connection. Our result generalizes the classical Chern character from the $K$ -theory of $A$ to the algebraic De Rham cohomology.

The Chow-Witt ring.

Fasel, Jean (2007)

Documenta Mathematica

The cone of curves of a K3 surface.

Sándor J. Kovács (1994)

Mathematische Annalen

The degrees of certain strata of the dual variety

Israel Vainsencher (1979)

Compositio Mathematica

The Euler number of the normalization of an algebraic threefold with ordinary singularities

Shoji Tsuboi (2004)

Banach Center Publications

By a classical formula due to Enriques, the Euler number χ(X) of the non-singular normalization X of an algebraic surface S with ordinary singularities in P³(ℂ) is given by χ(X) = n(n²-4n+6) - (3n-8)m + 3t - 2γ, where n is the degree of S, m the degree of the double curve (singular locus) $D_{S}$ of S, t is the cardinal number of the triple points of S, and γ the cardinal number of the cuspidal points of S. In this article we shall give a similar formula for an algebraic threefold with ordinary singularities...

The hard Lefschetz theorem and the topology of semismall maps

Mark Andrea A de Cataldo, Luca Migliorini (2002)

Annales scientifiques de l'École Normale Supérieure

The intersection rings of the conic varieties

U. STERZ, K. DRECHSLER (1991)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

The special Schubert calculus is real.

Sottile, Frank (1999)

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

The structure of a local embedding and Chern classes of weighted blow-ups

Anca M. Mustaţǎ, Andrei Mustaţǎ (2012)

Journal of the European Mathematical Society

For a proper local embedding between two Deligne-Mumford stacks $Y$ and $X$ , we find, under certain mild conditions, a new (possibly non-separated) Deligne-Mumford stack $X^{'}$ , with an etale, surjective and universally closed map to the target $X$ , and whose fiber product with the image of the local embedding is a finite union of stacks with corresponding etale, surjective and universally closed maps to $Y$ . Moreover, a natural set of weights on the substacks of $X^{'}$ allows the construction of a universally closed...

The tautological ring of $M_{1, n}^{c t}$

Mehdi Tavakol (2011)

Annales de l’institut Fourier

We describe the tautological ring of the moduli space of stable $n$ -pointed curves of genus one of compact type. It is proven that it is a Gorenstein algebra.