8 citations · 15 across the 9 of their papers we have counts for
12 papers
A comment on the number of -th powers inside arithmetic progressions
Saša Novaković
In \cite{BD} Bourgain and Demeter found sharp upper bounds for the number of -th powers inside arbitrary arithmetic progressions whose step has many divisors. We make the…
Some Diophantine equations involving arithmetic functions and Bhargava factorials
Daniel M. Baczkowski, Saša Novaković
F. Luca proved for any fixed rational number that the Diophantine equations of the form , where is either the Euler function or the divisor sum function or t…
A note on some polynomial-factorial diophantine equations
Saša Novaković
In 1876 Brocard, and independently in 1913 Ramanujan, asked to find all integer solutions for the equation . It is conjectured that this equation has only three solutions…
Rationality of inner twisted flags of type
Sasa Novakovic
We prove that if is a rational inner twisted flag of type .
Rational points on symmetric powers and categorical representability
Saša Novaković
In this paper we observe that for geometrically integral projective varieties , admitting a full weak exceptional collection consisting of pure vector bundles, the existence of…
No phantoms in the derived category of curves over arbitrary fields, and derived characterizations of Brauer-Severi varieties
Saša Novaković
In this paper we show that the derived category of Brauer-Severi curves satisfies the Jordan-Hölder property and cannot have quasi-phantoms, phantoms or universal phantoms. In this…
Some remarks on rigid sheaves, helices and exceptional vector bundles on Fano varieties over arbitrary fields
Saša Novaković
In this paper we study the connection between rigid sheaves and separable-exceptional objects on Fano varieties over arbitrary fields. We give criteria for a rigid vector bundle on…
On non-existence of full exceptional collections on some relative flags
Saša Novaković
In this paper we show that certain relative flags cannot have full exceptional collections. We also prove that some of these flags are categorical representable in dimension zero i…
Non-existence of exceptional collections on twisted flags and categorical representability via noncommutative motives
Saša Novaković
In this paper we prove that a finite product of Brauer--Severi varieties is categorical representable in dimension zero if and only if it admits a -rational point if and only if…
Equivariant derived category of flat families
Saša Novaković
We prove the existence of tilting bundles on global quotient stacks that are produced by compatible finite group actions on flat families.
Tilting objects on some global quotient stacks
Saša Novaković
We prove the existence of tilting objects on some global quotient stacks. As a consequence we provide further evidence for a conjecture on the Rouquier dimension of derived categor…
Absolutely split locally free sheaves on proper -schemes and Brauer--Severi varieties
Saša Novaković
We classify absolutely split vector bundles on proper -schemes. More precise, we prove that the closed points of the Picard scheme are in one-to-one correspondence with indecomp…