Zobrazeno 1 - 10
of 659
pro vyhledávání: '"A. Turchet"'
We prove that the complement of a very general pair of hypersurfaces of total degree $2n$ in $\mathbb{P}^n$ is algebraically hyperbolic modulo a proper closed subvariety. This provides evidence towards conjectures of Lang-Vojta and Green-Griffiths, a
Externí odkaz:
http://arxiv.org/abs/2410.00640
Autor:
Caporaso, Lucia, Turchet, Amos
We study integral plane curves meeting at a single unibranch point and show that such curves must satisfy two equivalent conditions. A numeric condition: the local invariants of the curves at the contact point must be arithmetically related. A geomet
Externí odkaz:
http://arxiv.org/abs/2406.17392
Autor:
Caporaso, Lucia, Turchet, Amos
We investigate plane curves intersecting in at most two unibranched points to study the algebraic exceptional set appearing in standard conjectures of diophantine and hyperbolic geometry. Our first result compares the local geometry of two hypertange
Externí odkaz:
http://arxiv.org/abs/2403.09886
In this paper we consider sets of points in the plane with rational distances from a prescribed finite set of $n$ rational points. We show that for $n\le 3$, the points are dense in the real topology. On the other hand, for $n\ge 4$, we show that the
Externí odkaz:
http://arxiv.org/abs/2403.02030
We generalize to arbitrary dimension our previous construction of simply connected weakly-special but not special varieties. We show that they satisfy the function field and complex analytic part of Campana's conjecture. Moreover, we give the first e
Externí odkaz:
http://arxiv.org/abs/2308.13240
A divisibility sequence is a sequence of integers $\{d_n\}$ such that $d_m$ divides $d_n$ if $m$ divides $n$. Results of Bugeaud, Corvaja, Zannier, among others, have shown that the gcd of two divisibility sequences corresponding to subgroups of the
Externí odkaz:
http://arxiv.org/abs/2205.05562
Publikováno v:
In International Journal of Human - Computer Studies November 2024 191
Autor:
Luca Turchet, Sacha Krstulovic
Publikováno v:
IEEE Open Journal of the Communications Society, Vol 5, Pp 6212-6226 (2024)
This article proposes a vision for digital signal processing as a service (DSPaaS), which exploits the Internet of Musical Things’ capabilities to dematerialise and enhance music production tasks beyond networked music performance. If all musical d
Externí odkaz:
https://doaj.org/article/2acfe3dd881b4b4cab99d043416ce78f
Publikováno v:
IEEE Open Journal of the Communications Society, Vol 5, Pp 4691-4709 (2024)
Networked Music Performances (NMPs) involve geographically-displaced musicians performing together in real-time. To date, scarce research has been conducted on how to integrate NMP systems with immersive audio rendering techniques able to enrich the
Externí odkaz:
https://doaj.org/article/f7a2394c2d1742a8baa1ff9e0b7db4a4
Publikováno v:
IEEE Access, Vol 12, Pp 62818-62833 (2024)
The use of internet-based and networking technology in computer music systems has greatly increased in the past few years. Such efforts fall in the remits of the emerging filed of the Internet of Musical Things (IoMusT), the extension of the Internet
Externí odkaz:
https://doaj.org/article/4234095c5c4940b79b119eecf72412c6