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value | date int32 2.01k 2.01k | text stringlengths 200 1.33M | token_count int32 40 309k | category stringclasses 1
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redpajama_arxiv | 2,011 | Introduction
How are moduli spaces of one- and two-dimensional sheaves on a projective K3 or abelian surface X that are semistable with respect to an ample divisor H on X related when H varies in the ample cone?
Is there a symplectic resolution of the moduli space if H is nongeneral?
For the second question, we... | 15,884 | academic |
redpajama_arxiv | 2,011 | Introduction
The Cheeger isoperimetric constant I_(M) of a noncompact Riemannian manifold of dimension n 2 is defined as (see , ):
where ranges over open submanifolds of M possesing compact closure and smooth boundary, Vol( ) denotes de (n-1) -dimensional volume of the boundary and Vol() denotes the n -dimensional vo... | 5,851 | academic |
redpajama_arxiv | 2,011 | Introduction
Refractory dust grains in orbit around a star spiral into the star by
the Poynting-Robertson drag (hereafter P-R drag) and sublime in the
immediate vicinity of the star. Because the particles lose their mass during
sublimation, the ratio of radiation pressure to gravity of the
star acting on each particle... | 6,991 | academic |
redpajama_arxiv | 2,011 | Introduction
Magnetograms provide the radial magnetic field on the visible surface of the
Sun. The actual measurement is for the line-of-sight component of the magnetic field,
which is then transformed into the radial component assuming an (approximately)
radial field near the solar surface.
As the Sun rotates, the in... | 6,352 | academic |
redpajama_arxiv | 2,011 | Introduction
Demailly, Ein and Lazarsfeld proved the subadditivity theorem for multiplier ideals on smooth complex varieties, which states
J(a b) J(a) J(b) .
This theorem is responsible for several applications of multiplier ideals in commutative algebra, in particular to symbolic powers
and Abhyankar valuations .
... | 3,366 | academic |
redpajama_arxiv | 2,011 | Introduction
The localization
of single particle states in a disordered system, viz. the Anderson localization .
has been explored extensively since its inception way back in 1958.
The investigation
didn't remain confined to
the cases of randomly disordered systems
in one, two or three dimensions alone, but also ... | 4,080 | academic |
redpajama_arxiv | 2,011 | Introduction
sec:Intro
Recent experimental progress in the generation of synthetic gauge
fields has enhanced the
possibilities of controlled experimental studies of outstanding problems
of quantum condensed matter and even of high energy
physics using cold atomic systems. Many theoretical
works have
explored the poss... | 7,259 | academic |
redpajama_arxiv | 2,011 | "Introduction\n\n The ground state of three-flavor quark matter at asymptotically large densities an(...TRUNCATED) | 8,202 | academic |
redpajama_arxiv | 2,011 | "Definitions and background\n\nWe begin with the technical definition of tameness of a map\nwhich is(...TRUNCATED) | 7,576 | academic |
redpajama_arxiv | 2,011 | "Introduction\n\nThe seminal work of Anderson has given birth to a vast\nbody of litterature on the (...TRUNCATED) | 19,195 | academic |
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