Étude géométrique sur une question de licence
Étude sur les relations algébriques entre les fonctions hyperelliptiques de genre 3
Euclidean algorithm and Kummer covers with many points.
Euclidean rings of affine curves.
Euclid's algorithm in algebraic function fields, II
Euler characteristics of moduli spaces of curves
Let be the moduli space of -pointed Riemann surfaces of genus . Denote by the Deligne-Mumford compactification of . In the present paper, we calculate the orbifold and the ordinary Euler characteristic of for any and such that .
Euler's concordant forms
Even canonical surfaces with small - II
Even sets of nodes on sextic surfaces
We determine the possible even sets of nodes on sextic surfaces in , showing in particular that their cardinalities are exactly the numbers in the set . We also show that all the possible cases admit an explicit description. The methods that we use are an interplay of coding theory and projective geometry on one hand, and of homological and computer algebra on the other. We give a detailed geometric construction for the new case of an even set of 56 nodes, but the ultimate verification of existence...
Even Symmetric Sextics.
Éventails et variétés toriques
Every Algebraic Set in n-Space Is the Intersection of n Hypersurfaces.
Every connected sum of lens spaces is a real component of a uniruled algebraic variety
We show that any finite connected sum of lens spaces is diffeomorphic to a real component of a uniruled projective variety, and prove a conjecture of János Kollár.
Every finitely presented group is the ...of some two dimensional Stein space.
Every ordinary symplectic isogeny class in positive characteristic is dense in the moduli.
Every rational surface is separably split.
Everywhere non reduced moduli spaces.
Examples of abelian surfaces in P4.
Examples of birationality of pluricanonical maps
Examples of functions -extendable for each finite, but not -extendable
In Example 1, we describe a subset X of the plane and a function on X which has a -extension to the whole for each finite, but has no -extension to . In Example 2, we construct a similar example of a subanalytic subset of ; much more sophisticated than the first one. The dimensions given here are smallest possible.