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pro vyhledávání: '"Novaković, Saša"'
Autor:
Baczkowski, Daniel M., Novaković, Saša
F. Luca proved for any fixed rational number $\alpha>0$ that the Diophantine equations of the form $\alpha\,m!=f(n!)$, where $f$ is either the Euler function or the divisor sum function or the function counting the number of divisors, have only finit
Externí odkaz:
http://arxiv.org/abs/2407.03822
Autor:
Novaković, Saša
Erd\"os and Obl\'ath proved that the equation $n!\pm m!=x^p$ has only finitely many integer solutions. More general, under the ABC-conjecture, Luca showed that $P(x)=An!+Bm!$ has finitely many integer solutions for polynomials of degree $\geq 3$. For
Externí odkaz:
http://arxiv.org/abs/2309.15007
Autor:
Novaković, Saša
In 1876 Brocard, and independently in 1913 Ramanujan, asked to find all integer solutions for the equation $n!=x^2-1$. It is conjectured that this equation has only three solutions, but up to now this is an open problem. Overholt observed that a weak
Externí odkaz:
http://arxiv.org/abs/2308.11002
Autor:
Novaković, Saša
Publikováno v:
In Bulletin des sciences mathématiques December 2024 197
Autor:
Novaković, Saša
This paper addresses the problem of calculating the Amitsur subgroup of a proper $k$-scheme. Under mild hypothesis, we calculate this subgroup for proper $k$-varieties $X$ with $\mathrm{Pic}(X)\simeq \mathbb{Z}^{\oplus m}$, using a classification of
Externí odkaz:
http://arxiv.org/abs/2101.11767
Autor:
Novakovic, Sasa
We prove that $\mathrm{rcodim}(X)\geq 2 $ if $X$ is a rational inner twisted flag of type $A_n$.
Comment: 5 pages, comments are welcome. arXiv admin note: text overlap with arXiv:1607.01043, arXiv:1608.03085, arXiv:1607.04834
Comment: 5 pages, comments are welcome. arXiv admin note: text overlap with arXiv:1607.01043, arXiv:1608.03085, arXiv:1607.04834
Externí odkaz:
http://arxiv.org/abs/2001.06330
Akademický článek
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Autor:
Novaković, Saša
In this note we prove that certain twisted flag varieties carry Ulrich bundles.
Comment: 5 pages, comments welcome!
Comment: 5 pages, comments welcome!
Externí odkaz:
http://arxiv.org/abs/1808.06192
Autor:
Novaković, Saša
We prove the existence of Ulrich bundles on any Brauer--Severi variety. In some cases, the minimal possible rank of the obtained Ulrich bundles equals the period of the Brauer--Severi variety. Moreover, we find a formula for the rank of an Ulrich bun
Externí odkaz:
http://arxiv.org/abs/1807.10919
Autor:
Novaković, Saša
In this paper we observe that for geometrically integral projective varieties $X$, admitting a full weak exceptional collection consisting of pure vector bundles, the existence of a $k$-rational point implies $\mathrm{rdim}(X)=0$. We also study the s
Externí odkaz:
http://arxiv.org/abs/1704.02474