| Title: |
Algebraic Geometry. – On the classification of product-quotient surfaces with q D 0, pg D 3 and their canonical map |
| Authors: |
Fallucca F. |
| Contributors: |
Fallucca, F |
| Publisher Information: |
European Mathematical Society Publishing House; DE |
| Publication Year: |
2024 |
| Collection: |
Università degli Studi di Milano-Bicocca: BOA (Bicocca Open Archive) |
| Subject Terms: |
canonical map; product-quotient; surfaces of general type |
| Description: |
– In this work, we present new results to produce an algorithm that returns, for any fixed pair of positive integers K2 and, all regular surfaces S of general type with self-intersection of the canonical class KS2 D K2 and Euler characteristic .OS/ D, which are product-quotient surfaces. The key result we obtain is an algebraic characterization of all families of regular product-quotients surfaces, up to isomorphism, arising from a pair of G-coverings of P1. As a consequence of our work, we provide a classification of all regular product-quotient surfaces S of general type with 23 ≤ KS2 ≤ 32 and .OS/ D 4. Furthermore, we study their canonical map and present several new examples of surfaces of general type with a high degree of the canonical map. |
| Document Type: |
article in journal/newspaper |
| File Description: |
STAMPA |
| Language: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/wos/WOS:001537966000001; volume:35; issue:4; firstpage:529; lastpage:596; numberofpages:68; journal:ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI; https://hdl.handle.net/10281/564295; https://ems.press/journals/rlm/articles/14298841 |
| DOI: |
10.4171/RLM/1051 |
| Availability: |
https://hdl.handle.net/10281/564295; https://doi.org/10.4171/RLM/1051; https://ems.press/journals/rlm/articles/14298841 |
| Rights: |
info:eu-repo/semantics/openAccess ; license:Creative Commons ; license uri:http://creativecommons.org/licenses/by/4.0/ |
| Accession Number: |
edsbas.BA19FA13 |
| Database: |
BASE |