Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Sombra, Martin"'
Autor:
Gualdi, Roberto, Sombra, Martín
We study the distribution of the height of the intersection between the projective line defined by the linear polynomial $x_{0}+x_{1}+x_{2}$ and its translate by a torsion point. We show that for a strict sequence of torsion points, the corresponding
Externí odkaz:
http://arxiv.org/abs/2304.01966
Autor:
Di Scala, Antonio J., Sombra, Martin
We put in evidence and correct a mistake in the formula for the determinant 308 in Proskuryakov's linear algebra book. We apply this formula to reprove the well-known fact that the Fubini-Study metric on the complex projective space is Einstein.
Externí odkaz:
http://arxiv.org/abs/2201.13225
We present a product formula for the initial parts of the sparse resultant associated to an arbitrary family of supports, generalising a previous result by Sturmfels. This allows to compute the homogeneities and degrees of the sparse resultant, and i
Externí odkaz:
http://arxiv.org/abs/2004.14622
We introduce notions of concavity for functions on balanced polyhedral spaces, and we show that concave functions on such spaces satisfy several strong continuity properties.
Comment: Revised version, 40 pages, 5 figures. To appear in Mathematis
Comment: Revised version, 40 pages, 5 figures. To appear in Mathematis
Externí odkaz:
http://arxiv.org/abs/1911.04821
Publikováno v:
Pacific J. Math. 304 (2020) 419-437
We give a formula in terms of multidimensional resultants for an equation for the flex locus of a projective hypersurface, generalizing a classical result of Salmon for surfaces. Using this formula, we compute the dimension of this flex locus, and an
Externí odkaz:
http://arxiv.org/abs/1804.08025
Autor:
Amoroso, Francesco, Sombra, Martín
We prove a function field analogue of a conjecture of Schinzel on the factorization of univariate polynomials over the rationals. We derive from it a finiteness theorem for the irreducible factorizations of the bivariate Laurent polynomials in famili
Externí odkaz:
http://arxiv.org/abs/1710.11479
Autor:
Sombra, Martin, Yger, Alain
Publikováno v:
Moscow Mathematical Journal 21 (2021) 129-173
We present several upper bounds for the height of global residues of rational forms on an affine variety. As a consequence, we deduce upper bounds for the height of the coefficients in the Bergman-Weil trace formula. We also present upper bounds for
Externí odkaz:
http://arxiv.org/abs/1702.05987
We present lower bounds for the orbit length of reduction modulo primes of parametric polynomial dynamical systems defined over the integers, under a suitable hypothesis on its set of preperiodic points over $\mathbb C$. Applying recent results of Ba
Externí odkaz:
http://arxiv.org/abs/1702.01976
Autor:
Martínez, César, Sombra, Martín
We present an upper bound for the height of the isolated zeros in the torus of a system of Laurent polynomials over an adelic field satisfying the product formula. This upper bound is expressed in terms of the mixed integrals of the local roof functi
Externí odkaz:
http://arxiv.org/abs/1609.00509
Publikováno v:
Alg. Number Th. 11 (2017) 1627-1655
We present a quantitative version of Bilu's theorem on the limit distribution of Galois orbits of sequences of points of small height in the $N$-dimensional algebraic torus. Our result gives, for a given point, an explicit bound for the discrepancy b
Externí odkaz:
http://arxiv.org/abs/1606.04299