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math.AG2003★ 8 cited
Non-rationality of a three-dimensional Fano variety of index 2 and degree 1
Mikhail Grinenko
We describe the set of Mori structures for a Fano 3-fold of index 2 and degree 1 (the double cone over the Veronese surface). In partiular, it is proved that such a Fano variety is…
math.AG2002★ 5 cited
Birational models of del Pezzo fibrations
Mikhail Grinenko
This is a preliminary version of the paper for the Lecture Notes Series.
math.AG1999
On a rigidity criterion for del Pezzo fibrations over
Mikhail Grinenko
We discuss the rigidity problem for Mori fibrations on del Pezzo surfaces of degree 1, 2 and 3 over and formulate the following conjecture: such a del Pezzo fibrati…
math.AG1998
Normal surfaces with strictly nef anticanonical divisors
Mikhail Grinenko
In this paper we study normal surfaces whose anticanonical divisors are strictly nef, i.e. (-K)C>0 for every curve C.