151 citations
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10 papers · 1 filter
What are the Building Blocks of Our Universe?
Kameshwar C. Wali
We are told that we are living in a Golden Age of Astronomy. Cosmological Parameters are found with un precedented accuracy. Yet, the known form of matter forms only a small fracti…
Entire pluricomplex Green functions and Lelong numbers of projective currents
Dan Coman
Let be a positive closed current of bidimension (1,1) and unit mass on the complex projective space . We prove that the set of points where has Lelong…
The adjoint of an even size matrix factors
Graham J. Leuschke, Ragnar-Olaf Buchweitz
We show that the adjoint matrix of a generic square matrix of even size can be factored nontrivially, answering a question of G. Bergman. This note is a preliminary report on work…
Explicit lower bounds on the modular degree of an elliptic curve
Mark Watkins
We derive an explicit zero-free region for symmetric square L-functions of elliptic curves, and use this to derive an explicit lower bound for the modular degree of rational ellipt…
On the Degree Growth of Birational Mappings in Higher Dimension
Eric Bedford, Kyounghee Kim
Let be a birational map of , and consider the degree complexity, or asymptotic degree growth rate . We introduce a fami…
Transcendence measures and algebraic growth of entire functions
Dan Coman, Evgeny A. Poletsky
In this paper we obtain estimates for certain transcendence measures of an entire function . Using these estimates, we prove Bernstein, doubling and Markov inequalities for a po…