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12 papers · 2 filters
On the hyperbolicity locus of a real curve
Stepan Orevkov
Given a real algebraic curve in the projective 3-space, its hyperbolicity locus is the set of lines with respect to which the curve is hyperbolic. We give an example of a smooth ir…
Proper base change over henselian pairs
Massimo Pippi
We discuss a question which appears in [Séminaire de Géométrie Algébrique du Bous Marie- Théorie des topos et cohomologie étale des schémas, Exposé XII, Remarks 6.13] concerning pr…
Maximally writhed real algebraic links
Grigory Mikhalkin, Stepan Orevkov
Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots and links in which can be viewed as a first order Vassiliev invariant. In this paper we cla…
Double spinor Calabi-Yau varieties
Laurent Manivel
Consider the ten-dimensional spinor variety in the projectivization of a half-spin representation of dimension sixteen. The intersection X of two general translates of this variety…
Topology of maximally writhed real algebraic knots
Grigory Mikhalkin, Stepan Orevkov
Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots in which can be viewed as a first order Vassiliev invariant. In this paper we look at real algebr…
On the growth behaviour of Hironaka quotients
H. Maugendre, F. Michel
We consider a finite analytic morphism $ϕ= (f,g) : (X,p)\to (\C^2,0)$ where is a complex analytic normal surface germ and and are complex analytic function germs. L…