4 citations · 8 across the 12 of their papers we have counts for
15 papers
Almost perfect inhomogeneous powers in arithmetic progression
Saša Novaković
Let be a finite set of primes and write for the set of those non-zero integers whose prime divisors belong to . Hajdu proved that the abc conjecture implies t…
A comment on the equation
Saša Novaković
We study the equation and show that in certain special cases the explicit abc conjecture implies that it has only finitely many nontrivial solutions.
Products of factorials which are products of factorials
Saša Novaković
In this note, we look at the diophantine equation $$ \prod_{i=1}^ta_i!=\prod_{j=1}^sn_i!, \quad n_1\geq \cdots \geq n_s\geq 2 \quad \textnormal{and}\quad n_1>a_1\geq a_2\geq\cdots…
On a generalization of the Brocard--Ramanujan Diophantine equation
Saša Novaković
Let be polynomials having as a root. Let be a homogeneous polynomial with factorization $f(x,y)=f_1(x,y)^{e_1}\cdots f…
The Diophantine equation
Saša Novaković
Naciri proved that for any integer , the Brocard--Ramanujan equation has only finitely many integer solutions, assuming is a -free integer or a prime…
Diophantine equations involving double factorials
Saša Novaković
We are motivated by a result of Alzer and Luca who presented all the integer solutions to the relations and . We modify the equations…
Diophantine equations involving powers of factorials
Saša Novaković
We are motivated by a result of Alzer and Luca who presented all the integer solutions to the relations and . We consider the equatio…
Ulrich complexity and categorical representability dimension
Saša Novaković
We investigate the Ulrich complexity of certain examples of Brauer--Severi varieties, twisted flags and involution varieties and establish lower and upper bounds. Furthermore, we r…
On the diophantine equation
Saša Novaković
Erdös and Obláth proved that the equation has only finitely many integer solutions. More general, under the ABC-conjecture, Luca showed that has finit…
Amitsur subgroup and noncommutative motives
Saša Novaković
This paper addresses the problem of calculating the Amitsur subgroup of a proper -scheme. Under mild hypothesis, we calculate this subgroup for proper -varieties with $\m…
Ulrich bundles on some twisted flags
Saša Novaković
In this note we prove that certain twisted flag varieties carry Ulrich bundles.
Ulrich bundles on Brauer--Severi varieties
Saša Novaković
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--Sev…
No full exceptional collections on non-split Brauer--Severi varieties of dimension
Saša Novaković
In an earlier paper we showed that non-split Brauer--Severi curves do not admit full strong exceptional collections. In the present note we extend this observation and prove that t…
Rational maps between varieties associated to central simple algebras
Saša Novaković
In this paper we show that if two central simple -algebras generate the same cyclic subgroup in , then there are rational maps between varieties associated to th…
Tilting objects on twisted forms of some relative flag varieties
Saša Novaković
We prove the existence of tilting objects on generalized Brauer--Severi varieties, some relative flags and some twisted forms of relative flags. As an application we obtain tilting…