Search Results - "Alessio Caminata"

Structure of CSS and CSS-T quantum codes by Berardini, Elena, Caminata, Alessio, Ravagnani, Alberto

“…We investigate CSS and CSS-T quantum error-correcting codes from the point of view of their existence, rarity, and performance. We give a lower bound on the…”
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Nearly Gorenstein cyclic quotient singularities by Caminata, Alessio, Strazzanti, Francesco

“…We investigate the nearly Gorenstein property among d -dimensional cyclic quotient singularities k 〚 x 1 , ⋯ , x d 〛 G , where k is an algebraically closed…”
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Cohomological dimension and arithmetical rank of some determinantal ideals by Davide Bolognini, Alessio Caminata, Antonio Macchia, Maral Mostafazadehfard

“…Let M be a (2 × n) non-generic matrix of linear forms in a polynomial ring. For large classes of such matrices, we compute the cohomological dimension (cd) and…”
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Solving degree, last fall degree, and related invariants by Caminata, Alessio, Gorla, Elisa

“…In this paper we study and relate several invariants connected to the solving degree of a polynomial system. This provides a rigorous framework for estimating…”
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A Pascal's theorem for rational normal curves by Caminata, Alessio, Schaffler, Luca

“…Pascal's theorem gives a synthetic geometric condition for six points a,…,f in P2 to lie on a conic. Namely, that the intersection points ab¯∩de¯, af¯∩dc¯,…”
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Multidegrees, prime ideals, and non-standard gradings by Caminata, Alessio, Cid-Ruiz, Yairon, Conca, Aldo

“…We study several properties of multihomogeneous prime ideals. We show that the multigraded generic initial ideal of a prime has very special properties, for…”
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The complexity of solving Weil restriction systems by Caminata, Alessio, Ceria, Michela, Gorla, Elisa

“…The solving degree of a system of multivariate polynomial equations provides an upper bound for the complexity of computing the solutions of the system via…”
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The symmetric signature by Brenner, Holger, Caminata, Alessio

“…We define two related invariants for a d-dimensional local ring (R, ,k) called syzygy and differential symmetric signature by looking at the maximal free…”
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Determinantal Varieties From Point Configurations on Hypersurfaces by Caminata, Alessio, Moon, Han-Bom, Schaffler, Luca

“…Abstract We consider the scheme $X_{r,d,n}$ parameterizing $n$ ordered points in projective space $\mathbb {P}^{r}$ that lie on a common hypersurface of degree…”
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Point configurations, phylogenetic trees, and dissimilarity vectors by Caminata, Alessio, Giansiracusa, Noah, Moon, Han-Bom, Schaffler, Luca

“…In 2004, Pachter and Speyer introduced the higher dissimilarity maps for phylogenetic trees and asked two important questions about their relation to the…”
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Isolated singularities with large class group by Caminata, Alessio

“…Let $d\geq3$ and $g\geq1$ be integers. Using a geometric construction involving the symmetric product of a projective curve, we exhibit a $d$-dimensional…”
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Solving multivariate polynomial systems and an invariant from commutative algebra by Caminata, Alessio, Gorla, Elisa

“…Lecture Notes in Computer Science, 2021, 12542 LNCS, pp. 3-36 The complexity of computing the solutions of a system of multivariate polynomial equations by…”
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Characterization of ferromagnetic or conductive properties of metallic foreign objects embedded within the human body with magnetic iron detector (MID): Screening patients for MRI: Detection of Metallic Objects in Humans by Gianesin, Barbara, Zefiro, Daniele, Paparo, Francesco, Caminata, Alessio, Balocco, Manuela, Carrara, Paola, Quintino, Sabrina, Pinto, Valeria, Bacigalupo, Lorenzo, Rollandi, Gian Andrea, Marinelli, Mauro, Forni, Gian Luca

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Characterization of ferromagnetic or conductive properties of metallic foreign objects embedded within the human body with magnetic iron detector (MID): Screening patients for MRI by Gianesin, Barbara, Zefiro, Daniele, Paparo, Francesco, Caminata, Alessio, Balocco, Manuela, Carrara, Paola, Quintino, Sabrina, Pinto, Valeria, Bacigalupo, Lorenzo, Rollandi, Gian Andrea, Marinelli, Mauro, Forni, Gian Luca

“…Purpose A preliminary assessment of the MRI‐compatibility of metallic object possibly embedded within the patient is required before conducting the MRI…”
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Solving degree, last fall degree, and related invariants by Caminata, Alessio, Gorla, Elisa

“…In this paper we study and relate several invariants connected to the solving degree of a polynomial system. This provides a rigorous framework for estimating…”
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A Pascal's Theorem for rational normal curves by Caminata, Alessio, Schaffler, Luca

“…Pascal's Theorem gives a synthetic geometric condition for six points $a,\ldots,f$ in $\mathbb{P}^2$ to lie on a conic. Namely, that the intersection points…”
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A new multivariate primitive from CCZ equivalence by Calderini, Marco, Caminata, Alessio, Villa, Irene

“…Multivariate Cryptography is one of the main candidates for Post-quantum Cryptography. Multivariate schemes are usually constructed by applying two secret…”
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Simplices osculating rational normal curves by Caminata, Alessio, Carlini, Enrico, Schaffler, Luca

“…A classical result of von Staudt states that if eight planes osculate a twisted cubic curve and we divide them into two groups of four, then the eight vertices…”
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Structure of CSS and CSS-T Quantum Codes by Berardini, Elena, Caminata, Alessio, Ravagnani, Alberto

“…Designs, Codes and Cryptography (2024) We investigate CSS and CSS-T quantum error-correcting codes from the point of view of their existence, rarity, and…”
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Nearly Gorenstein cyclic quotient singularities by Caminata, Alessio, Strazzanti, Francesco

“…We investigate the nearly Gorenstein property among $d$-dimensional cyclic quotient singularities $\Bbbk[[x_1,\dots,x_d]]^G$, where $\Bbbk$ is an algebraically…”
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