2 citations · 4 across the 9 of their papers we have counts for
8 papers · 1 filter
On algebraic and non-algebraic neighborhoods of rational curves
Serge Lvovski
We prove that for any there exists an embedding of the Riemann sphere in a smooth complex surface, with self-intersection , such that the germ of this embedd…
On threefolds with the smallest nontrivial monodromy group
Serge Lvovski
Using an adjunction-theoretic result due to A.J.Sommese together with a proposition from SGA7, we obtain a complete list of smooth threefolds for which the monodromy group acting o…
On non-projective small resolutions
Serge Lvovski
We construct a large class of projective threefolds with one node (aka non-degenerate quadratic singularity) such that their small resolutions are not projective.
On Legendrian curves in
Serge Lvovski
We show that if a smooth projective curve (over an algebraically closed field of characteristic zero) is Legendrian with respect to a contact structure (it is…
On monodromy in families of elliptic curves over
Serge Lvovski
We show that if we are given a smooth non-isotrivial family of elliptic curves over~ with a smooth base~ for which the general fiber of the mapping $J\colon B\to\math…
Some remarks on osculating self-dual varieties
Serge Lvovski
Let us say that a curve is osculating self-dual if it is projectively equivalent to the curve in the dual space whose points are osculating…
On projections of smooth and nodal plane curves
Yu. Burman, Serge Lvovski
Suppose that is a general enough nodal plane curve of degree , is its normalization, and is a finite…
On surfaces with zero vanishing cycles
Serge Lvovski
We show that using an idea from a paper by Van de Ven one may obtain a simple proof of Zak's classification of smooth projective surfaces with zero vanishing cycles. This method of…