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pro vyhledávání: '"Katz, Nicholas M."'
Autor:
Katz, Nicholas M., Tiep, Pham Huu
Publikováno v:
In Journal of Pure and Applied Algebra September 2024 228(9)
Autor:
Katz, Nicholas M., Tiep, Pham Huu
A certain "condition (S)" on reductive algebraic groups was introduced in [GT2], in which a slightly stronger condition (S+) was shown to have very strong consequences. We show that a wide class of Kloosterman and hypergeometric sheaves satisfy (S+).
Externí odkaz:
http://arxiv.org/abs/2005.09051
Autor:
Katz, Nicholas M., Tiep, Pham Huu
We construct explicit local systems on the affine line in characteristic $p>2$, whose geometric monodromy groups are the finite symplectic groups $Sp_{2n}(q)$ for all $n \ge 2$, and others whose geometric monodromy groups are the special unitary grou
Externí odkaz:
http://arxiv.org/abs/2005.09055
Autor:
Katz, Nicholas M., Tiep, Pham Huu
We use hypergeometric sheaves on $G_m/F_q$, which are particular sorts of rigid local systems, to construct explicit local systems whose arithmetic and geometric monodromy groups are the finite general linear groups $GL_n(q)$ for any $n \ge 2$ and an
Externí odkaz:
http://arxiv.org/abs/2002.05863
In the first three sections, we develop some basic facts about hypergeometric sheaves on the multiplicative group ${\mathbb G}_m$ in characteristic $p >0$. In the fourth and fifth sections, we specialize to quite special classses of hypergeomtric she
Externí odkaz:
http://arxiv.org/abs/1901.03894
We first develop some basic facts about hypergeometric sheaves on the multiplicative group ${\mathbb G}_m$ in characteristic $p >0$. Certain of their Kummer pullbacks extend to irreducible local systems on the affine line in characteristic $p>0$. One
Externí odkaz:
http://arxiv.org/abs/1811.05712
Autor:
Katz, Nicholas M., Rojas-León, Antonio
We exhibit a rigid local system of rank six on the affine line in characteristic $p=5$ whose arithmetic and geometric monodromy groups are the finite group $2.J_2$ ($J_2$ the Hall-Janko sporadic group) in one of its two (Galois-conjugate) irreducible
Externí odkaz:
http://arxiv.org/abs/1809.05755