23 citations · 70 across the 17 of their papers we have counts for
19 papers
Hodge integrals on admissible covers and tautological projections of Prym classes
Yoav Len, Sam Molcho, Navid Nabijou
In the moduli space of abelian varieties, Prym loci parametrise Prym varieties associated to covers of curves with fixed degree and monodromy data. We derive and implement an algor…
Counting point configurations in projective space
Alex Fink, Navid Nabijou, Rob Silversmith
We investigate the enumerative geometry of point configurations in projective space. We define "projective configuration counts": these enumerate configurations of points in projec…
Euler characteristics of higher rank double ramification loci in genus one
Luca Battistella, Navid Nabijou
Double ramification loci parametrise marked curves where a weighted sum of the markings is linearly trivial; higher-rank loci are obtained by imposing several such conditions simul…
Chow theory of toric variety bundles
Francesca Carocci, Leonid Monin, Navid Nabijou
We describe the Chow homology and cohomology of toric variety bundles, with no restrictions on the singularities of the fibre. We present the ordinary and equivariant homologies as…
Logarithmic negative tangency and root stacks
Luca Battistella, Navid Nabijou, Dhruv Ranganathan
We study stable maps to normal crossings pairs with possibly negative tangency orders. There are two independent models: punctured Gromov-Witten theory of pairs and orbifold Gromov…
Gromov-Witten theory of bicyclic pairs
Michel van Garrel, Navid Nabijou, Yannik Schuler
A bicyclic pair is a smooth surface equipped with a pair of smooth divisors intersecting in two reduced points. Resolutions of self-nodal curves constitute an important special cas…
Toric configuration spaces: the bipermutahedron and beyond
Navid Nabijou
We establish faithful tropicalisation for point configurations on algebraic tori. Building on ideas from enumerative geometry, we introduce tropical scaffolds and use them to const…
Universality for tropical and logarithmic maps
Gabriel Corrigan, Navid Nabijou, Dan Simms
We prove that every toric monoid appears in a space of maps from tropical curves to an orthant. It follows that spaces of logarithmic maps to Artin fans exhibit arbitrary toric sin…
Divisors and curves on logarithmic mapping spaces
Patrick Kennedy-Hunt, Navid Nabijou, Qaasim Shafi +1
We determine the rational class and Picard groups of the moduli space of stable logarithmic maps in genus zero, with target projective space relative a hyperplane. For the class gr…
Tropical expansions and toric variety bundles
Francesca Carocci, Navid Nabijou
A tropical expansion is a degeneration of a toroidal embedding, induced by a polyhedral subdivision of its tropicalisation. Each irreducible component of a tropical expansion admit…
Gromov-Witten theory via roots and logarithms
Luca Battistella, Navid Nabijou, Dhruv Ranganathan
Orbifold and logarithmic structures provide independent routes to the virtual enumeration of curves with tangency orders for a simple normal crossings pair . The theories do…
GV and GW invariants via the enhanced movable cone
Navid Nabijou, Michael Wemyss
Given any smooth germ of a threefold flopping contraction, we first give a combinatorial characterisation of which Gopakumar-Vafa (GV) invariants are non-zero, by prescribing multi…
Rubber tori in the boundary of expanded stable maps
Francesca Carocci, Navid Nabijou
We investigate torus actions on logarithmic expansions in the context of enumerative geometry. Our main result is an intrinsic and coordinate-free description of the higher-rank ru…
The local-orbifold correspondence for simple normal crossings pairs
Luca Battistella, Navid Nabijou, Hsian-Hua Tseng +1
For a smooth projective variety and a simple normal crossings divisor, we establish a precise cycle-level correspondence between the genus zero local Gromov-…
Tangent curves to degenerating hypersurfaces
Lawrence Jack Barrott, Navid Nabijou
We study the behaviour of rational curves tangent to a hypersurface under degenerations of the hypersurface. Working within the framework of logarithmic Gromov-Witten theory, we ex…
Gromov-Witten theory with maximal contacts
Navid Nabijou, Dhruv Ranganathan
We propose an intersection-theoretic method to reduce questions in genus zero logarithmic Gromov-Witten theory to questions in the Gromov-Witten theory of smooth pairs, in the pres…
Curve counting in genus one: elliptic singularities & relative geometry
Luca Battistella, Navid Nabijou, Dhruv Ranganathan
We construct and study the reduced, relative, genus one Gromov--Witten theory of very ample pairs. These invariants form the principal component contribution to relative Gromov--Wi…
The fundamental solution matrix and relative stable maps
Navid Nabijou
Givental's Lagrangian cone is a Lagrangian submanifold of a symplectic vector space which encodes the genus-zero Gromov-Witten invariants of . Building on work o…
Relative quasimaps and mirror formulae
Luca Battistella, Navid Nabijou
We construct and study the theory of relative quasimaps in genus zero, in the spirit of Gathmann. When is a smooth toric variety and is a smooth very ample hypersurface in…