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HILBERT’S IRREDUCIBILITY THEOREM AND THE LARGER SIEVE
HILBERT IRREDUCIBILITY THEOREM LARGER SIEVE
2015/8/26
We describe an explicit version of Hilbert’s irreducibility theorem using a generalization of Gallagher’s larger sieve. We give applications to the Galois theory of random polynomials, and to the imag...
Irreducibility of the space of cyclic covers of algebraic curves of fixed numerical type and the irreducible components of $Sing (\bar{\mathfrak M_g})$
space algebraic curves numerical type irreducible components
2010/11/8
We prove irreducibility for the space of cyclic covers of fixed numerical type between smooth projective curves, and also for the space of cyclic covers of prime order and of fixed numerical-combinato...
We study irreducible specializations, in particular when group-preserving specializations
may not exist. We obtain a criterion in terms of embedding problems. We include several applications to analo...
We introduce a notion of local tropical variety which is a straightforward extension of tropism introduced by Maurer, and prove a variant of the fundamental theorem of tropical algebraic geometry in s...
Integral and homothetic indecomposability with applications to irreducibility of polynomials
Absolute irreducibility polytopes integral indecomposability
2010/2/25
Being motivated by some methods for construction of homothetically indecomposable polytopes, we obtain new methods for construction of families of integrally indecomposable polytopes. As a result, we ...