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pro vyhledávání: '"van der Geer, P"'
The van der Geer-van der Vlugt curves are Artin-Schreier coverings of the affine line defined by linearized polynomials over finite fields. We give several criteria for them to be maximal or minimal, i.e. attaining the upper or lower bound in the Has
Externí odkaz:
http://arxiv.org/abs/2412.00902
Autor:
Takeuchi, Daichi, Tsushima, Takahiro
We study Van der Geer--Van der Vlugt curves in a ramification-theoretic view point. We give explicit formulae on L-polynomials of these curves. As a result, we show that these curves are supersingular and give sufficient conditions for these curves t
Externí odkaz:
http://arxiv.org/abs/2305.06117
Akademický článek
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Autor:
van der Geer, Gerard, Yu, Xun
We give a bound on the number of weighted real forms of a complex variety with finite automorphism group, where the weight is the inverse of the number of automorphisms of the real form. We give another bound involving the Sylow 2-subgroup and as an
Externí odkaz:
http://arxiv.org/abs/2401.13284
We prove a formula for the cycle class of the supersingular locus in the Chow ring with rational coefficients of the moduli space of principally polarized abelian varieties in characteristic $p$. This formula determines this class as a monomial in th
Externí odkaz:
http://arxiv.org/abs/2307.14393
We construct vector-valued modular forms on moduli spaces of curves and abelian varieties using effective divisors in projectivized Hodge bundles over moduli of curves. Cycle relations tell us the weight of these modular forms. In particular we const
Externí odkaz:
http://arxiv.org/abs/2302.00329
Field emitted electrons can seriously affect the operation of high-field, high-duty factor electron accelerators. Accelerated field emission can result in high average power beams which can radiation damage beamline components. In addition, localized
Externí odkaz:
http://arxiv.org/abs/2212.07993
Autor:
Cléry, Fabien, van der Geer, Gerard
We discuss two simple but useful observations that allow the construction of modular forms from given ones using invariant theory. The first one deals with elliptic modular forms and their derivatives, and generalizes the Rankin-Cohen bracket, while
Externí odkaz:
http://arxiv.org/abs/2211.05611
Autor:
Jessica Carilli, Jason Baer, Jenna Marie Aquino, Mark Little, Bart Chadwick, Forest Rohwer, Gunther Rosen, Anneke van der Geer, Andrés Sánchez-Quinto, Ashton Ballard, Aaron C. Hartmann
Publikováno v:
PeerJ, Vol 12, p e17640 (2024)
Anthropogenic stressors like overfishing, land based runoff, and increasing temperatures cause the degradation of coral reefs, leading to the loss of corals and other calcifiers, increases in competitive fleshy algae, and increases in microbial patho
Externí odkaz:
https://doaj.org/article/923f0bfb66204105add6d8202961bdaa
Akademický článek
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