The a-Number of Certain Hyperelliptic Curves
The a -number of an algebraic curve X is the dimension of the space of exact holomorphic differentials on X . In this paper, we give a formula for the a -number of family of hyperelliptic curves defined by the equations y 2 = x m + 1 and y 2 = x m + x for infinitely many values of m .
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| Veröffentlicht in: | Iranian journal of science and technology. Transaction A, Science Science, 2022-08, Vol.46 (4), p.1235-1239 |
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| container_issue | 4 |
| container_start_page | 1235 |
| container_title | Iranian journal of science and technology. Transaction A, Science |
| container_volume | 46 |
| creator | Nourozi, Vahid Rahmati, Farhad Tafazolian, Saeed |
| description | The
a
-number of an algebraic curve
X
is the dimension of the space of exact holomorphic differentials on
X
. In this paper, we give a formula for the
a
-number of family of hyperelliptic curves defined by the equations
y
2
=
x
m
+
1
and
y
2
=
x
m
+
x
for infinitely many values of
m
. |
| doi_str_mv | 10.1007/s40995-022-01332-3 |
| format | Article |
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a
-number of an algebraic curve
X
is the dimension of the space of exact holomorphic differentials on
X
. In this paper, we give a formula for the
a
-number of family of hyperelliptic curves defined by the equations
y
2
=
x
m
+
1
and
y
2
=
x
m
+
x
for infinitely many values of
m
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a
-number of an algebraic curve
X
is the dimension of the space of exact holomorphic differentials on
X
. In this paper, we give a formula for the
a
-number of family of hyperelliptic curves defined by the equations
y
2
=
x
m
+
1
and
y
2
=
x
m
+
x
for infinitely many values of
m
.</description><subject>Chemistry/Food Science</subject><subject>Earth Sciences</subject><subject>Engineering</subject><subject>Life Sciences</subject><subject>Materials Science</subject><subject>Mathematics</subject><subject>Physics</subject><subject>Research Paper</subject><issn>1028-6276</issn><issn>2364-1819</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LxDAURYMoOIzzB1wV3Bp9Ly8f7VKKOsKgm3EdmphqpTOtSSvMv7dawZ2rtzn3Xt5h7BzhCgHMdZJQFIqDEByQSHA6YgtBWnLMsThmCwSRcy2MPmWrlBoHhKiNkHrBLrdvIav447hzIWZdnZUhDlWzz9aHPsTQtk0_ND4rx_gZ0hk7qas2hdXvXbLnu9ttueabp_uH8mbDPWExcJR1LV3uBcmglTQKChXoBQoXdCUAnKLK10aQyY3X6BxqVEFBVThD3iAt2cXc28fuYwxpsO_dGPfTpBUGDE3fopooMVM-dinFUNs-NrsqHiyC_RZjZzF2EmN_xFiaQjSH0gTvX0P8q_4n9QULjmMr</recordid><startdate>20220801</startdate><enddate>20220801</enddate><creator>Nourozi, Vahid</creator><creator>Rahmati, Farhad</creator><creator>Tafazolian, Saeed</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20220801</creationdate><title>The a-Number of Certain Hyperelliptic Curves</title><author>Nourozi, Vahid ; Rahmati, Farhad ; Tafazolian, Saeed</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-14ff4b8c234e65475095e3d09be6a200b53acf723787c61bb1615e50a9b73c713</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Chemistry/Food Science</topic><topic>Earth Sciences</topic><topic>Engineering</topic><topic>Life Sciences</topic><topic>Materials Science</topic><topic>Mathematics</topic><topic>Physics</topic><topic>Research Paper</topic><toplevel>online_resources</toplevel><creatorcontrib>Nourozi, Vahid</creatorcontrib><creatorcontrib>Rahmati, Farhad</creatorcontrib><creatorcontrib>Tafazolian, Saeed</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Iranian journal of science and technology. Transaction A, Science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nourozi, Vahid</au><au>Rahmati, Farhad</au><au>Tafazolian, Saeed</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The a-Number of Certain Hyperelliptic Curves</atitle><jtitle>Iranian journal of science and technology. Transaction A, Science</jtitle><stitle>Iran J Sci Technol Trans Sci</stitle><date>2022-08-01</date><risdate>2022</risdate><volume>46</volume><issue>4</issue><spage>1235</spage><epage>1239</epage><pages>1235-1239</pages><issn>1028-6276</issn><eissn>2364-1819</eissn><abstract>The
a
-number of an algebraic curve
X
is the dimension of the space of exact holomorphic differentials on
X
. In this paper, we give a formula for the
a
-number of family of hyperelliptic curves defined by the equations
y
2
=
x
m
+
1
and
y
2
=
x
m
+
x
for infinitely many values of
m
.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s40995-022-01332-3</doi><tpages>5</tpages></addata></record> |
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| identifier | ISSN: 1028-6276 |
| ispartof | Iranian journal of science and technology. Transaction A, Science, 2022-08, Vol.46 (4), p.1235-1239 |
| issn | 1028-6276 2364-1819 |
| language | eng |
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| source | Alma/SFX Local Collection |
| subjects | Chemistry/Food Science Earth Sciences Engineering Life Sciences Materials Science Mathematics Physics Research Paper |
| title | The a-Number of Certain Hyperelliptic Curves |
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