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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.

Threefolds with nef anticanonical bundles.

Thomas Peternell, Fernando Serrano (1998)

Collectanea Mathematica

In this paper we study the global structure of projective threefolds X whose anticanonical bundle -KX is nef.

Tissus du plan et polynômes de Darboux

Olivier Ripoll, Julien Sebag (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

Dans cet article, nous étudions le problème de l’existence de polynômes de Darboux dans C { x } y , y pour la dérivation δ = R ( y ) x + R ( y ) y y - V ( y , y ) y .

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