3 citations · 5 across the 10 of their papers we have counts for
11 papers
The stacky Batyrev-Manin conjecture and modular curves
Ratko Darda, Changho Han
Let be the Deligne--Rapoport modular stack of elliptic curves endowed with a cyclic rational -isogeny over a number field . Let $N\in\{1,2,3,4,5,6,7,8,9,10…
Orbifold pseudo-effective cones of toric stacks
Ratko Darda, Takehiko Yasuda
In this paper, we explicitly describe the orbifold pseudo-effective cone of a split toric stack.
Counting torsors for wild abelian groups
Ratko Darda, Takehiko Yasuda
Let be a global field of characteristic and a finite abelian -group. In this paper we treat the question of counting -torsors over for certain heights dev…
The Batyrev-Manin conjecture for DM stacks II
Ratko Darda, Takehiko Yasuda
In this paper, we propose a new framework for studying the distribution of rational points on DM stacks of positive characteristic. Our primary focus is on wild stacks, which exist…
The Manin conjecture for toric stacks
Ratko Darda, Takehiko Yasuda
Split toric stacks over a number field are natural generalization of split toric varieties over . Notable examples are weighted projective stacks. In our previous work, we d…
Quantitative inverse Galois problem for semicommutative finite group schemes
Ratko Darda, Takehiko Yasuda
A semicommutative finite group scheme is a finite group scheme which can be obtained from commutative finite group schemes by iterated performing semidirect products with commutati…
The Batyrev-Manin conjecture for DM stacks
Ratko Darda, Takehiko Yasuda
We define a new height function on rational points of a DM (Deligne-Mumford) stack over a number field. This generalizes a generalized discriminant of Ellenberg-Venkatesh, the heig…
Torsors for finite group schemes of bounded height
Ratko Darda, Takehiko Yasuda
Let be a global field. Let be a non trivial finite étale tame -group scheme. We define height functions on the set of -torsors over which generalize the usual he…
Rational points of bounded height on weighted projective stacks
Ratko Darda
A weighted projective stack is a stacky quotient , where the action of is with weights $\mathbf a\in\mathbb Z^n…
Searching for square-complementary graphs: non-existence results and complexity of recognition
Ratko Darda, Martin Milanič, Miguel Pizaña
A graph is square-complementary (squco, for short) if its square and complement are isomorphic. We prove that there are no squco graphs with girth 6, that every bipartite graph is…
There is no square-complementary graph of girth 6
Ratko Darda
A graph is {\it square-complementary} ({\it squco}, for short) if its square and complement are isomorphic. We prove that there is no squco graph of girth , thus answersing a qu…